Half Life of Charge on metal ball.

Let a metal ball of Radius \(r\) is placed in infinite homogeneous conducting medium having dielectric constant \(k\) , resistivity \(\rho\) . Let at time t=0 , Q charge is given to ball , then find the half Life of the charge present on sphere.

Inspired from Raghav's Note
It is simple version of that problem.

Yes Answer is independent of Size of ball...

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